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Finding the Fourth Proportional to 720.16, 1,078.42 and 500.52

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Solution

The fourth proportional to 720.16, 1,078.42 and 500.52 is: 749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.16 : 1,078.42 = 500.52 : x
  2. Step 2: Convert to fraction form
    720.16/1,078.42 = 500.52/x
  3. Step 3: Cross multiply
    720.16x = 1,078.42 × 500.52
  4. Step 4: Simplify right side
    720.16x = 539,770.78
  5. Step 5: Solve for x
    x = 539,770.78/720.16
  6. Step 6: Final answer
    x = 749.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.